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Finding the Third Proportional to 5,769.38 and 8,644.38

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Solution

The third proportional to 5,769.38 and 8,644.38 is: 12,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.38 : 8,644.38 = 8,644.38 : x
  2. Step 2: Convert to fraction form
    5,769.38/8,644.38 = 8,644.38/x
  3. Step 3: Cross multiply
    5,769.38x = 8,644.38 × 8,644.38
  4. Step 4: Simplify right side
    5,769.38x = 74,725,219.14
  5. Step 5: Solve for x
    x = 74,725,219.14/5,769.38
  6. Step 6: Final answer
    x = 12,952.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.